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Finding the Fourth Proportional to 274.43, 411.29 and 120.31

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Solution

The fourth proportional to 274.43, 411.29 and 120.31 is: 180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.43 : 411.29 = 120.31 : x
  2. Step 2: Convert to fraction form
    274.43/411.29 = 120.31/x
  3. Step 3: Cross multiply
    274.43x = 411.29 × 120.31
  4. Step 4: Simplify right side
    274.43x = 49,480.67
  5. Step 5: Solve for x
    x = 49,480.67/274.43
  6. Step 6: Final answer
    x = 180.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.